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Finding the Fourth Proportional to 9,335.85, 14,011.07 and 3,494.13

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Solution

The fourth proportional to 9,335.85, 14,011.07 and 3,494.13 is: 5,243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.85 : 14,011.07 = 3,494.13 : x
  2. Step 2: Convert to fraction form
    9,335.85/14,011.07 = 3,494.13/x
  3. Step 3: Cross multiply
    9,335.85x = 14,011.07 × 3,494.13
  4. Step 4: Simplify right side
    9,335.85x = 48,956,482.55
  5. Step 5: Solve for x
    x = 48,956,482.55/9,335.85
  6. Step 6: Final answer
    x = 5,243.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.